English

The rigidity theorems of self shrinkers

Differential Geometry 2011-05-26 v1

Abstract

By using certain idea developed in minimal submanifold theory we study rigidity problem for self-shrinkers in the present paper. We prove rigidity results for squared norm of the second fundamental form of self-shrinkers, either under point-wise conditions or under integral conditions.

Keywords

Cite

@article{arxiv.1105.4962,
  title  = {The rigidity theorems of self shrinkers},
  author = {Qi Ding and Y. L. Xin},
  journal= {arXiv preprint arXiv:1105.4962},
  year   = {2011}
}

Comments

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R2 v1 2026-06-21T18:12:19.332Z